{
  "id": 4676,
  "curve_key": "694660249:-18299562274493",
  "ainvs": [
    "1",
    "1",
    "0",
    "-14472088",
    "21174018892"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 61.076800300929186,
  "faltings_height": 2.8385797564652915,
  "conductor": "365430668285310",
  "bad_primes": [
    "2",
    "3",
    "5",
    "41",
    "241",
    "409",
    "433",
    "6961"
  ],
  "discriminant": "194624719622073252900",
  "regulator": "5234.504901390788713012625576186514622271637472389761",
  "points": [
    [
      "-4259",
      "76822"
    ],
    [
      "-2684",
      "203062"
    ],
    [
      "15226",
      "1817482"
    ],
    [
      "-362",
      "162556"
    ],
    [
      "2669",
      "38285"
    ],
    [
      "1252",
      "70222"
    ],
    [
      "3102",
      "76822"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From Michael Rubinstein's elliptic-curves-by-rank repository, torsion/torsion_Z2.tsv.gz: https://github.com/mrubinst/elliptic-curves-by-rank. I checked the seven supplied rational points exactly on this minimal model. The source records rank 7 with independent points and a matching 2-descent upper bound. Rational torsion Z/2Z. Source-attributed existing curve.",
  "created_at": "2026-10-20 20:26:27",
  "updated_at": "2026-10-20 20:26:27"
}